Analytic Geometry
Analytic Geometry
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In our eReader you can find the full English version of the book. Read Analytic Geometry Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Analytic Geometry
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Thus, if y = 2 y? + sin 2 x, dx j d A and dx\dx The derivative, --, is called the first derivative of y with re- dx spect to x, and ( ) is called the second derivative of y with dx \dxj respect to x.
The symbol ^- is used to denote the second derivative of drt 2 . , 1, 1 d 2 y d fdv\ y with respect to x, thus - = dx 2 dx\dxj Similarly, ^ means - -pM, etc. Dx 8 dx\_dx\dxj_\ 161. The second derivative curve. The second derivative is related to the first derivative in precisely the same way as the... first derivative is related to the primitive function. But it also has an interesting and important relation to the primitive function, now to be explained.
186 ANALYTIC GEOMETRY Suppose the second derivative to be represented by a curve, using x for abscissa and -^ as ordinate. This curve is called dx^ the second derivative curve.
Then, for all values of x for which the second derivative curve is above the a^axis, the primitive curve is concave up ; for the ordinate of the second derivative curve is equal to the slope of the first derivative curve for the same value of a?, and where the slope of the first derivative curve is positive, the primitive curve is concave up.
What to read after Analytic Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Norman C Norman Colman Riggs to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Thus, if y = 2 y? + sin 2 x, dx j d A and dx\dx The derivative, --, is called the first derivative of y with re- dx spect to x, and ( ) is called the second derivative of y with dx \dxj respect to x.
The symbol ^- is used to denote the second derivative of drt 2 . , 1, 1 d 2 y d fdv\ y with respect to x, thus - = dx 2 dx\dxj Similarly, ^ means - -pM, etc. Dx 8 dx\_dx\dxj_\ 161. The second derivative curve. The second derivative is related to the first derivative in precisely the same way as the... first derivative is related to the primitive function. But it also has an interesting and important relation to the primitive function, now to be explained.
186 ANALYTIC GEOMETRY Suppose the second derivative to be represented by a curve, using x for abscissa and -^ as ordinate. This curve is called dx^ the second derivative curve.
Then, for all values of x for which the second derivative curve is above the a^axis, the primitive curve is concave up ; for the ordinate of the second derivative curve is equal to the slope of the first derivative curve for the same value of a?, and where the slope of the first derivative curve is positive, the primitive curve is concave up.
What to read after Analytic Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Norman C Norman Colman Riggs to read onlineMoreLess
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